The number 21552
21552 is a composite number with 20 divisors. Its prime factorisation is × 3 × 449. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 449, 898, 1347, 1796, 2694, 3592 … 21552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21552 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 21552 itself that is 34248, so 21552 is abundant (34248 is more than 21552). Euler's totient φ(21552) = 7168 numbers up to 21552 share no factor with it.
- 4
The digits of 21552 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21552 = 2^{4} \times 3 \times 449 \]21552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 7168 |
| Square | 464488704 |
| Cube | 10010660548608 |
| Square root | 146.805994 (= 4√1347) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.1552 × |
21552 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand five hundred and fifty-two |
| Binary (base 2) | 101010000110000 |
| Octal (base 8) | 52060 |
| Hexadecimal (base 16) | 5430 |
| Base 3 | 1002120020 |
| As time | 21552 seconds = 5 h 59 min 12 s |
Is 21552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21552 ÷ 2 = 10776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21552 ÷ 3 = 7184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21552 ÷ 4 = 5388) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21552 ÷ 6 = 3592) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (21552 ÷ 8 = 2694) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21552 ÷ 12 = 1796) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21552 a prime number?
No. 21552 = × 3 × 449, so it is divisible by 2.
What are the factors of 21552?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 449, 898, 1347, 1796, 2694, 3592, 5388, 7184, 10776, 21552.
What is 21552 in binary?
101010000110000 (hexadecimal 5430, octal 52060).
What is the square root of 21552?
About 146.8060, exactly 4√1347.
Is 21552 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21552?
It is a composite number with 20 divisors.